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Finding the Fourth Proportional to 1,832.78, 2,744.52 and 1,214.61

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Solution

The fourth proportional to 1,832.78, 2,744.52 and 1,214.61 is: 1,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.78 : 2,744.52 = 1,214.61 : x
  2. Step 2: Convert to fraction form
    1,832.78/2,744.52 = 1,214.61/x
  3. Step 3: Cross multiply
    1,832.78x = 2,744.52 × 1,214.61
  4. Step 4: Simplify right side
    1,832.78x = 3,333,521.44
  5. Step 5: Solve for x
    x = 3,333,521.44/1,832.78
  6. Step 6: Final answer
    x = 1,818.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.